Holographic complexity of braneworld in Horndeski gravity

Abstract

This work investigates the influence of a probe string on the complexity of braneworld according to the CA (Complexity equals action) conjecture within the Horndeski gravity. In the current study, it is considered that scalar fields that source Horndeski gravity has a spatial dependence. In addition, our system contains a particle moving on the boundary, which corresponds to the insertion of a fundamental string in the higher dimensional bulk. Such an effect is given by the Nambu-Goto term, which also incorporates the time-dependence and evolution in our system. Both warp factor, scalar field, and superpotential values are derived numerically assuming appropriate initial conditions, and the growth rate of holographic complexity is analyzed within the so-called Wheeler-De Witt (WDW) patch with null-like hypersurfaces present.

18 pages, 16 figures

References in corpus (4)

• Linear Confinement and AdS/QCD
• Gravitational action with null boundaries
• Complexity of AdS_5 black holes with a rotating string
• AdS/BCFT correspondence and Lovelock theory in the presence of canonical scalar field

Cited by in corpus (6)

• AdS/BCFT correspondence and Horndeski gravity in the presence of gauge fields: holographic paramagnetism/ferromagnetism phase transition
• de Sitter versus anti-de Sitter in Horndeski-like gravity
• Quantum fluctuation on the worldsheet of probe string in BTZ black hole
• Thick branes in Horndeski gravity
• q-Deformed glueballs spectrum in AdS/QCD correspondence
• Propagation of tensor perturbation in Horndeski-like gravity